On the stability in higher derivative quantum gravity

Filipe de O. Salles (1) , Ilya L. Shapiro

1 IAP - Institut d'Astrophysique de Paris

We present a general, albeit brief review of the recent works on stability of tensor modes in the fourth and higher derivative models of quantum gravity. There are some indications that the presence of Planck-mass ghost does not imply an instability of the classical cosmological solutions with respect to metric perturbations if the initial frequency of such perturbation is far below the Planck scale. The situation is different for a tachyonic ghost, where there is no Planck-mass threshold.

Mots clés: Higher derivative gravity; massive ghosts; tachyons; stability; derivative: high; scale: Planck; stability: classical; space-time: perturbation; quantum gravity: model; metric: perturbation; ghost: tachyon; gravitation; mathematical methods; Planck

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]

Filipe de O. Salles, Ilya L. Shapiro. On the stability in higher derivative quantum gravity. 14th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories, Jul 2015, Rome, Italy. pp.2243-2251, ⟨10.1142/9789813226609_0257⟩. ⟨hal-01669851⟩